{"id":5632,"date":"2021-09-23T07:27:43","date_gmt":"2021-09-23T07:27:43","guid":{"rendered":"https:\/\/www.goseeko.com\/blog\/?p=5632"},"modified":"2026-01-06T14:07:10","modified_gmt":"2026-01-06T08:37:10","slug":"__trashed-5__trashed","status":"publish","type":"post","link":"https:\/\/www.goseeko.com\/blog\/__trashed-5__trashed\/","title":{"rendered":"What is Amplitude Modulation?"},"content":{"rendered":"\n<p>The amplitude of the carrier signal varies in accordance with the instantaneous amplitude of the modulating signal in Amplitude Modulation. That is the amplitude of the carrier signal containing no information varies as per the amplitude of the <a href=\"https:\/\/en.wikipedia.org\/wiki\/Analog_signal\" target=\"_blank\" rel=\"noreferrer noopener\">signal<\/a> containing information, at each instant.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Concept of Amplitude Modulation<\/strong><\/h2>\n\n\n\n<p>Consider the following diagram<\/p>\n\n\n\n<p class=\"has-text-align-center\"><img loading=\"lazy\" decoding=\"async\" width=\"328\" height=\"172\" src=\"https:\/\/lh4.googleusercontent.com\/2Ebhw3IgRX20nnDmTI7EZpCR5KSSCU_hQqcM2nLatflyG7BDiG-ia6I0HBRCFhVdowRkyNXMiUoHQrIAU1413Ko_68Dku80IinabJOn8SOHGLVBe3aJem4XgUy_T0LB7rB_5Xw2x=s0\"><\/p>\n\n\n\n<p class=\"has-text-align-center\"><img loading=\"lazy\" decoding=\"async\" width=\"373\" height=\"188\" src=\"https:\/\/lh4.googleusercontent.com\/KURvIZrwv6fPbhZO5cSm4v0aR8UidSMJQOwg1mKySl4SiFTd6rpG6X9xv6JUav0jPYYP3_6GXe7KfNCuBfNwP4OnX7lMA3vTsL7Y3YUEZ70iwDqlR7BlP6r9Kcw6kN7xWQApFZgb=s0\"><\/p>\n\n\n\n<p class=\"has-text-align-center\"><img loading=\"lazy\" decoding=\"async\" width=\"337\" height=\"172\" src=\"https:\/\/lh5.googleusercontent.com\/it-Dy3dPIgwIVei3ut_n65gWM2etoSnmWBd1nMZFOmA2P6eSJtwOtsa4deBlbtrKcvCuJGLnlM-NAjqUs4S5cYIDTUM5Fzx7Otbg3EiUockVkAJZbmytUU-3dTWB5vkoOQxQhTiG=s0\"><\/p>\n\n\n\n<p>The message signal shown above is in the form of a modulating wave. Then there is a carrier wave signal which has a higher frequency. This carrier wave has no information. At last shown is the modulated wave form. There is interconnection between the positive and negative ends of the carrier wave which helps to recover the exact shape of the modulating signal. This is called an Envelope. This is exactly the same as the message signal.<\/p>\n\n\n\n<p>Therefore, we can say that Amplitude Modulation is the process of changing the amplitude of a carrier signal in accordance with the amplitude of the modulating signal. The carrier amplitude varies linearly by the <a href=\"https:\/\/eva.istjm.edu.ec\/\" style=\"color:#666;\">https:\/\/eva.istjm.edu.ec\/<\/a> modulating signal which usually consists of a range of audio frequencies. Then there is no effect on the frequency of the carrier.&nbsp; <\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Forms<\/strong><\/h2>\n\n\n\n<p>The basic forms of AM are:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Double Sideband Large carrier modulation (DSBLC) \/Double Sideband Full Carrier (DSBFC)&nbsp;<\/li>\n\n\n\n<li>Double Sideband Suppressed carrier (DSBSC) modulation.<\/li>\n\n\n\n<li>Single Sideband (SSB) modulation<\/li>\n<\/ul>\n\n\n\n<p><strong>Generation of DSB-FC (Double Side Band Full Wave Carrier)<\/strong><\/p>\n\n\n\n<p><strong>Time-Domain Representation<\/strong><\/p>\n\n\n\n<p>Let the us consider the modulating signal as,<\/p>\n\n\n\n<p><img loading=\"lazy\" decoding=\"async\" width=\"322\" height=\"40\" src=\"https:\/\/lh4.googleusercontent.com\/0BXPlHoHXoxzwHmubnHfqXXd702_IoM_0DNT_vYJtwim_X3tpKAXmUxhiUIMvej2-wqfL1WtaGEKlpUf6dw1fWnDLnzYAzwelJAeIPhHXB2RztoWk5uUR34ilW6eq24LaVu6sxBh=s0\"><\/p>\n\n\n\n<p>Let the carrier signal be<\/p>\n\n\n\n<p><img loading=\"lazy\" decoding=\"async\" width=\"338\" height=\"40\" src=\"https:\/\/lh6.googleusercontent.com\/uoJMgEHDihFLQtstWrd8vWb80iQPd4b0p8IQoYhfg9eCXadtPqaOGnaDOukQLmWacSTrxmIia2qVgqRbbdFO6mCAnOBCJuag2hypj4zlV9GHL45GEmPXT2ygaIwm4-SOk5hk1BHy=s0\"><\/p>\n\n\n\n<p>Where:<\/p>\n\n\n\n<p>&nbsp;A<sub>m<\/sub> : It is the Amplitude of the modulating signal<\/p>\n\n\n\n<p>A<sub>c<\/sub> : Amplitude of carrier signal respectively.<\/p>\n\n\n\n<p>f<sub>m<\/sub> : It is the Frequency of the modulating signal&nbsp;<\/p>\n\n\n\n<p>f<sub>c<\/sub> : The carrier signal frequency.<\/p>\n\n\n\n<p>Then Amplitude modulated wave will be<\/p>\n\n\n\n<p><img loading=\"lazy\" decoding=\"async\" width=\"580\" height=\"125\" src=\"https:\/\/lh5.googleusercontent.com\/fBnkA-DcEohHvHTAZGDxkzqM2MLG-S9wWATPDhl3a7KGnuyVYxfr6gax5Wr1d_zzwp-VCvw_nNfrEei4MOyAWS5r39AB7TokbxogVzuqv8Hk8VP1w4w0i4cSlEYtHjKk8ixAE99F=s0\"><\/p>\n\n\n\n<p>Then modulation index will be&nbsp;<\/p>\n\n\n\n<p><img loading=\"lazy\" decoding=\"async\" width=\"110\" height=\"30\" src=\"https:\/\/lh4.googleusercontent.com\/4iXoqg8Tv00mlcv4JtgrxYG1ZLOl1Rk7tga4fRxiWkjr0kiu-rsH8ukFGi9RsCRf9VYcVBmajkJ_H0nPndNwAuO4yDg354nWKXRSEdao-8cdoxxYPlLcgIA3fyLVm4Px_URniBP-=s0\"><\/p>\n\n\n\n<p><img loading=\"lazy\" decoding=\"async\" width=\"483\" height=\"33\" src=\"https:\/\/lh3.googleusercontent.com\/AFkRO3lblIYbaQIZmz3H2rFk23CDB-tJktPYhBCWyj67_19i6kSxXr4wEyGww5AUrYiJYBqY1JAi_PFQ0mCOCTpIpR2VZrgJ4fnURNq3u778To3iiD-bNbh8aqv52XP3-XP1gn8a=s0\"><\/p>\n\n\n\n<p><strong>Modulation index<\/strong><\/p>\n\n\n\n<p>If A<sub>max<\/sub> :The maximum amplitudes of the modulated wave<\/p>\n\n\n\n<p>A<sub>min<\/sub> :The minimum amplitudes of the modulated wave.<\/p>\n\n\n\n<p>When cos(2\u03c0f<sub>m<\/sub>t) is 1, We will get the maximum amplitude of the modulated wave<\/p>\n\n\n\n<p>&nbsp;A<sub>max<\/sub>=A<sub>c<\/sub> + A<sub>m<\/sub>&nbsp;<\/p>\n\n\n\n<p>When cos(2\u03c0f<sub>m<\/sub>t) is -1, We will get the minimum amplitude of the modulated wave<\/p>\n\n\n\n<p>A<sub>min<\/sub> = A<sub>c<\/sub> &#8211; A<sub>m<\/sub><\/p>\n\n\n\n<p>A<sub>max<\/sub> + A<sub>min<\/sub> = Ac + A<sub>m<\/sub> + A<sub>c<\/sub> \u2013A<sub>m <\/sub>= 2A<sub>c<\/sub><\/p>\n\n\n\n<p>A<sub>c<\/sub> = A<sub>max<\/sub> + A<sub>min<\/sub>\/2<\/p>\n\n\n\n<p>Hence we can write,<\/p>\n\n\n\n<p>A<sub>max<\/sub> \u2013 A<sub>min<\/sub> = A<sub>c<\/sub> + A<sub>m<\/sub> \u2013 A<sub>c<\/sub> +A<sub>m<\/sub> = 2A<sub>m<\/sub><\/p>\n\n\n\n<p>A<sub>m<\/sub> = A<sub>max<\/sub> \u2013 A<sub>min<\/sub> \/2<\/p>\n\n\n\n<p>Therefore&nbsp; modulation index is now<\/p>\n\n\n\n<p><img loading=\"lazy\" decoding=\"async\" width=\"152\" height=\"81\" src=\"https:\/\/lh6.googleusercontent.com\/hvh4shR5QD3wmAJZG1IeaUra9pBj9z-cao9PgfSDIDSJpdoV7rRJfld835cPeV7-knLQMw6aaeDlPeqqS9D0TUvgMjoQDV4sXX8PfWgX-8tpyxARm-PgjcCT7ogLiA0ecahs00dm=s0\"><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Bandwidth:<\/strong><\/h2>\n\n\n\n<p><strong>Bandwidth <\/strong>is the difference between the highest and lowest frequencies of the signal.<\/p>\n\n\n\n<p>BW = f<sub>max<\/sub> \u2013 f<sub>min<\/sub><\/p>\n\n\n\n<p>s(t) = A<sub>c <\/sub>[1+ \u03bc cos(2\u03c0f<sub>m<\/sub>t)] cos(2\u03c0f<sub>c<\/sub>t)<\/p>\n\n\n\n<p>Therefore,<\/p>\n\n\n\n<p>s(t) = A<sub>c<\/sub> cos(2\u03c0f<sub>c<\/sub>t) + Ac \u03bc cos(2\u03c0f<sub>m<\/sub>t) cos(2\u03c0f<sub>c<\/sub>t)<\/p>\n\n\n\n<p>s(t) = A<sub>c<\/sub> cos(2\u03c0f<sub>c<\/sub>t) + Ac \u03bc\/2 cos 2\u03c0 (f<sub>c<\/sub> + f<sub>m<\/sub>) t + A<sub>c<\/sub> \u03bc\/2 cos 2\u03c0 (f<sub>c<\/sub> &#8211; f<sub>m<\/sub>) t<\/p>\n\n\n\n<p>The main three <a href=\"https:\/\/www.goseeko.com\/blog\/what-is-the-sampling-theorem\/\" target=\"_blank\" rel=\"noreferrer noopener\">frequencies<\/a> in amplitude modulated wave are&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Carrier frequency f<sub>c<\/sub><\/li>\n\n\n\n<li>Upper sideband frequency f<sub>c<\/sub>+f<sub>m<\/sub>&nbsp;<\/li>\n\n\n\n<li>and lower sideband frequency f<sub>c<\/sub>\u2212f<sub>m<\/sub><\/li>\n<\/ul>\n\n\n\n<p>Where we can write<\/p>\n\n\n\n<p>f<sub>max<\/sub>=f<sub>c<\/sub>+f<sub>m<\/sub> and f<sub>min<\/sub>=f<sub>c<\/sub>\u2212f<sub>m<\/sub><\/p>\n\n\n\n<p>BW=f<sub>c<\/sub>+f<sub>m<\/sub>\u2212(fc\u2212f<sub>m<\/sub>)<\/p>\n\n\n\n<p>BW=f<sub>c<\/sub>+f<sub>m<\/sub>\u2212(f<sub>c<\/sub>\u2212f<sub>m<\/sub>)<\/p>\n\n\n\n<p>BW= 2f<sub>m<\/sub><\/p>\n\n\n\n<p><strong>Interested in learning about similar topics? Here are a few hand-picked blogs for you!<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/www.goseeko.com\/blog\/what-is-zigbee\/\" target=\"_blank\" rel=\"noreferrer noopener\">What is ZigBee?<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.goseeko.com\/blog\/what-are-encoders-and-decoders\/\" target=\"_blank\" rel=\"noreferrer noopener\">Encoders and Decoders<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.goseeko.com\/blog\/what-is-uart\/\" target=\"_blank\" rel=\"noreferrer noopener\">Working of UART<\/a> <a href=\"https:\/\/priem.unitech-mo.ru\/\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/priem.unitech-mo.ru\/<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.goseeko.com\/blog\/what-is-fft\/\" target=\"_blank\" rel=\"noreferrer noopener\">Classification of FFT<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.goseeko.com\/blog\/what-is-fourier-transform\/\" target=\"_blank\" rel=\"noreferrer noopener\">Fourier Transform and its properties<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>The amplitude of the carrier signal varies in accordance with the instantaneous amplitude of the modulating signal in Amplitude Modulation. <\/p>\n","protected":false},"author":28,"featured_media":4847,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[37],"tags":[],"class_list":["post-5632","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-electronics"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v25.3.1 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>What is Amplitude Modulation? - Goseeko blog<\/title>\n<meta name=\"description\" content=\"The amplitude of the carrier signal varies in accordance with the instantaneous amplitude of the modulating signal in Amplitude Modulation.\" \/>\n<meta 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